Journal ArticleDOI
Multiplicity, stability, and oscillatory dynamics of the tubular reactor
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In this paper, the authors present numerical procedures for computing the Hopf bifurcation formulas which can determine the stability and location of the oscillation without integrating the parabolic partial differential equations.About:
This article is published in Chemical Engineering Science.The article was published on 1981-01-01. It has received 90 citations till now. The article focuses on the topics: Bifurcation diagram & Saddle-node bifurcation.read more
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Journal ArticleDOI
Reduced-order modeling: new approaches for computational physics
TL;DR: In this paper, the authors review the development of new reduced-order modeling techniques and discuss their applicability to various problems in computational physics, including aerodynamic and aeroelastic behaviors of two-dimensional and three-dimensional geometries.
Journal ArticleDOI
Data-driven operator inference for nonintrusive projection-based model reduction
TL;DR: In this article, a nonintrusive projection-based model reduction approach for full models based on time-dependent partial differential equations is presented, which is applicable to full models that are linear in the state or have a low-order polynomial nonlinear term.
Journal ArticleDOI
Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
TL;DR: In this paper, a streamline-upwind/Petrov-Galerkin procedure is proposed to minimize the oscillations about sharp internal and boundary layers in convection-dominated and reaction-dominated flows.
Proceedings ArticleDOI
Reduced-order modeling - New approaches for computational physics
Philip S. Beran,Walter A. Silva +1 more
TL;DR: The deve lo l~n~e~~ t of new reducecl-orcler ~ r ~ o t l e l i ~ ~ g tecl~niques ant1 tliscuss their applicalrility to variolts prol in co~ril)utatior~ul pl~ysics.
Journal ArticleDOI
Multiplicities and instabilities in chemically reacting systems — a review
Luis F. Razon,Roger A. Schmitz +1 more
TL;DR: In this paper, a review brings attention to much of the recent literature describing these developments and their applications, particularly regarding complex and chaotic oscillations, as well as reported experimental observations which, in many cases, have provided support for prior theory and in many others, have led to new theoretical developments.
References
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Book
Elementary stability and bifurcation theory
Gérard Iooss,Daniel D. Joseph +1 more
TL;DR: Asymptotic solutions of evolution problems bifurcation and stability of steady solution of evolution equations in one dimension imperfection theory and isolated solutions which perturb bifurbcation stability of stable solutions in two dimensions and n dimensions appendices as discussed by the authors.
Journal ArticleDOI
On the dynamic behavior of continuous stirred tank reactors
TL;DR: In this article, the types of dynamic behavior possible for a single first order reaction carried out in a stirred tank reaction are classified according to values of the parameters and plots in parameter space used to define the various possibilites.
Journal ArticleDOI
Modeling of chemical reactors — XVI Steady state axial heat and mass transfer in tubular reactors An analysis of the uniqueness of solutions
V. Hlavácˇek,Hanns Hofmann +1 more
TL;DR: In this article, a new technique is presented which, for the parameter study of a problem, enables one to transform the boundary value problem to the initial value problem and different criteria for testing of uniqueness and multiplicity respectively are discussed.
Journal ArticleDOI
Uniqueness of the steady state solutions for chemical reactor occurring in a catalyst particle or in a tubular reaction with axial diffusion
Dan Luss,Neal R. Amundson +1 more
TL;DR: In this paper, it was shown that for any reaction mixture the possibility of multiple steady states can usually be eliminated by use of small catalyst particles, or a dilute mixture, and that in this case one can usually guarantee a unique steady state by using either a small reaction mixture or a short reactor.